Skip to main content
Log in

Opinion formation with upper and lower bounds

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We investigate the opinion formation with upper and lower bounds. We formulate the binary exchange of opinions between two peoples under the second (or political) party using the relativistic inelastic-Boltzmann-Vlasov equation with randomly perturbed motion. In this paper, we discuss the relativistic effects on the opinion formation of peoples from the standpoint of the relativistic kinetic theory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Galam, Sociophysics: a Physicist’s Modeling of Psycho-Political Phenomena (Springer, Berlin, Heidelberg, 2012)

  2. G. Naldi, L. Pareschi, G. Toscani, Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences (Springer, New York, 2010)

  3. K. Sznajd-Weron, J. Sznajd, Int. J. Mod. Phys. C 11, 1157 (2000)

    Article  ADS  Google Scholar 

  4. R. Hegselmann, U. Krause, J. Artif. Soc. Social. Simul. 5, 3 (2000)

    Google Scholar 

  5. G. Toscani, Comm. Math. Sci. 4, 481 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. G. Aletti, G. Naldi, G. Toscani, SIAM J. Appl. Math. 67, 837 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  7. R. Ochrombel, Int. J. Mod. Phys. C 12, 1091 (2001)

    Article  ADS  Google Scholar 

  8. F. Slanina, H. Lavicka, Eur. Phys. J. B 5, 279 (2003)

    Article  ADS  Google Scholar 

  9. R. Yano, J. Stat. Mech. 5, P05005 (2015)

    Article  Google Scholar 

  10. C. Cercignani, G.M. Kremer, in The Relativistic Boltzmann Equation: Theory and Applications, Progress in Math. Phys. (Springer-Verlag, 2002), Vol. 22

  11. F. Bassetti, L. Ladelli, G. Toscani, J. Stat. Phys. 142, 686 (2011)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. A. Santos, Physica A 321, 442 (2003)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. G.M. Kremer, F.P. Devecchi, Phys. Rev. D 65, 083515 (2002)

    Article  ADS  Google Scholar 

  14. W. Israel, J. Math. Phys. 4, 1163 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  15. C. Eckart, Phys. Rev. 58, 919 (1940)

    Article  ADS  Google Scholar 

  16. R. Yano, J. Matsumoto, K. Suzuki, Phys. Rev. D 83, 123510 (2011)

    Article  ADS  Google Scholar 

  17. N.V. Brilliantov, T. Pöschel, Kinetic Theory of Granular Gases (Oxford Univ. Press, Oxford, 2004)

  18. J. Dunkel, P. Hanggi, Phys. Rep. 471, 1 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  19. D.B. Walton, J. Rafelski, Phys. Rev. Lett. 84, 31 (2000)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ryosuke Yano.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yano, R., Martin, A. Opinion formation with upper and lower bounds. Eur. Phys. J. B 88, 335 (2015). https://doi.org/10.1140/epjb/e2015-60575-5

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2015-60575-5

Keywords

Navigation